Great Mathematicians Quotes & Sayings

All right," Malcolm said. "Let's go back to the beginning." He paused, staring at the ceiling. "Physics has had great success at describing certain kinds of behavior: planets in orbit, spacecraft going to the moon, pendulums and springs and rolling balls, that sort of thing. The regular movement of objects. These are described by what are called linear equations, and mathematicians can solve those equations easily. We've been doing it for hundreds of years." "Okay," Gennaro said. "But there is another kind of behavior, which physics handles badly. For example, anything to do with turbulence. Water coming out of a spout. Air moving over an airplane wing. Weather. Blood flowing through the heart. Turbulent events are described by nonlinear equations. They're hard to solve - in fact, they're usually impossible to solve. So physics has never understood this whole class of events. Until about ten years ago. The new theory that describes them is called chaos theory. — Michael Crichton

James Edward Oliver might have been one of the great mathematicians of his time had he not been absolutely wanting in the power of continuous work. — Simon Newcomb

Biographical history, as taught in our public schools, is still largely a history of boneheads: ridiculous kings and queens, paranoid political leaders, compulsive voyagers, ignorant generals - the flotsam and jetsam of historical currents. The men who radically altered history, the great scientists and mathematicians, are seldom mentioned, if at all. — Martin Gardner

Each generation has its few great mathematicians, and mathematics would not even notice the absence of the others. They are useful as teachers, and their research harms no one, but it is of no importance at all. A mathematician is great or he is nothing. — Alfred Adler

Pointing out that countless great mathematicians had tried to solve the problem and failed before you came along is in particularly bad taste and should be avoided completely. — Terence Tao

I am a Christian which means that I believe in the deity of Christ, like Tycho de Brahe, Copernicus, Descartes, Newton, Leibnitz, Pascal ... like all great astronomers mathematicians of the past. — Augustin-Louis Cauchy

Great physicists, great mathematicians, great chemists, and publishers knew that one was always feeling one's way in the dark. — Roberto Bolano

I count Maxwell and Einstein, Eddington and Dirac, among "real" mathematicians. The great modern achievements of applied mathematics have been in relativity and quantum mechanics, and these subjects are at present at any rate, almost as "useless" as the theory of numbers. — G.H. Hardy

There is only one universal language, which is the language of numbers and proportions that are so striking and stunningly built into the Great Pyramid and to which our current science has no appropriate response. We can no longer ignore that this ancient civilization was aware of our units used in modern mathematics and physics and were even aware of our metric system. Our metric system originating in the eighteenth century, designed and implemented by a committee of mathematicians and physicists commissioned by the French revolutionary government. — Willem Witteveen

How did Biot arrive at the partial differential equation? [the heat conduction equation] ... Perhaps Laplace gave Biot the equation and left him to sink or swim for a few years in trying to derive it. That would have been merely an instance of the way great mathematicians since the very beginnings of mathematical research have effortlessly maintained their superiority over ordinary mortals. — Clifford A. Truesdell

Should I not be proud, when for twenty years I have had to admit to myself that the great Newton and all the mathematicians and noble calculators along with him were involved in a decisive error with respect to the doctrine of color, and that I among millions was the only one who knew what was right in this great subject of nature? — Johann Wolfgang Von Goethe

Even the greatest mathematicians, the ones that we would put into our mythology of great mathematicians, had to do a great deal of leg work in order to get to the solution in the end. — Daniel Tammet

Archimedes, Newton, and Gauss, these three, are in a class by
themselves among the great mathematicians, and it is not for
ordinary mortals to attempt to range them in order of merit. — Eric Temple Bell

It's specifically this Z = 2^(Aleph0) that he couldn't prove. Ever. Despite years of unimaginable doodling. Whether it's what unhinged him or not is an unanswerable question, but it is true that his inability to prove the C.H. caused Cantor pain for the rest of his life; he considered it his great failure. This too, in hindsight, is sad, because professional mathematicians now know exactly why G. Cantor could neither prove nor disprove the C.H. The reasons are deep and important and go corrosively to the root of axiomatic set theory's formal Consistency, in rather the same way that K. Godel's Incompleteness proofs deracinate all math as a formal system. Once again, the issues here can be only sketched or synopsized (although this time Godel is directly involved, so the whole thing is probably fleshed out in the Great Discoveries Series' Godel booklet). — David Foster Wallace

Even the great scientists have reported that their creative break-throughs came at a time of mental quietude. The surprising result of a nationwide inquiry among America's most eminent mathematicians, including Einstein, to find out their working methods, was that thinking 'plays only a subordinate part in the brief, decisive phase of the creative act itself'. — Eckhart Tolle

The mathematicians know a great deal about very little and the physicists very little about a great deal. — Stanislaw Ulam

I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics, delirium and symptoms of schizophrenia. — John Forbes Nash

I am very glad there are quite a number of people born with a gift and a liking for all of this; like great chessplayers who play sixteen games at once blindfold and die quite soon of epilepsy. Serve them right! I hope the Mathematicians, however, are well rewarded. I promise never to blackleg their profession nor take the bread out of their mouths. — Winston Churchill

Petrie found nothing that disproved the pyramidologist's assumption that the Great Pyramid had been built according to a master plan. Indeed, he describes the Pyramid's architecture as being filled with extraordinary mathematical harmonies and concordances: those same strange symmetries that had so haunted the pyramidologist.

Petrie not only noted, for example, that the proportions of the reconstructed pyramid approximated to pi - which others have since elaborated to include those twin delights of Renaissance and pyramidological mathematicians, the Golden Section and the Fibonacci Series ... — John Romer

A result once generally accepted by mathematicians is seldom retracted, and then only with great pangs.
The Nature of Mathematics — Max Black

Among mathematicians, even in those days, the reputation of being a good Glass Bead Game player meant a great deal; it was equivalent to being a very good mathematician. — Hermann Hesse

The things that fascinate me the most about mathematics are logical thought and the great importance attached to the correctness of propositions. Every step made during calculations is conclusive and mathematicians don't like to make false statements. This is the reason why people from this particular domain contemplate longer before they respond to questions. Recently I read a sentence in a book which summarizes all this fascinating stuff to me succinctly: 'Mathematics is the purest form of thought. — Barbara Meier

Most geometricians, chemists, mathematicians, and great scientists submit religion to reason only to discover a problem as unsolvable as that of squaring a circle. — Honore De Balzac

Good mathematicians see analogies. Great mathematicians see analogies between analogies. — Stefan Banach

Elegance? It may seem odd to non-scientists, but there is an aesthetic in software as there is in every other area of intellectual endeavour. Truly great programmers are like great poets or great mathematicians - they can achieve in a few lines what lesser mortals can only approach in three volumes — John Naughton

It has been said that the First World War was the chemists' war, because mustard gas and chlorine were employed for the first time, and that the Second World War was the physicists' war, because the atom bomb was detonated. Similarly, it has been argued that the Third World War would be the mathematicians' war, because mathematicians will have control over the next great weapon of war - information. — Simon Singh

The world ain't ready for true black genius. In every nigger is a cup of African blood from kings and queens of divine nature, mathematicians, craftsmen, men and women of the land. I have known some sisters and brothers would scare Einstein back into East European caves with the magnificence of their minds. We are a people with a practical nature and great vision. We have built nations, discovered treasures for everyday use. Our people are a great race of people, and though the Europeans raped and plundered, we have kept inner riches. You got a cup of African blood and that mean something, means you got a responsibility to be proud of it and use your talents or suffer self-destruction. — Shay Youngblood

For other great mathematicians or philosophers, he [Gauss] used the epithets magnus, or clarus, or clarissimus; for Newton alone he kept the prefix summus. — W. W. Rouse Ball

The cases of great mathematicians with mental illness have enormous resonance for modern pop writers and filmmakers. This has to do mostly with the writers'/directors' own prejudices and receptivities, which in turn are functions of what you could call our era's particular archetypal template. It goes without saying that these templates change over time. The Mentally Ill Mathematician seems now in some ways to be what the Knight Errant, Mortified Saint, Tortured Artist, and Mad Scientist have been for other eras: sort of our Prometheus, the one who goes to forbidden places and returns with gifts we all can use but he alone pays for. That's probably a bit overblown, at least in some cases. But Cantor fits the template better than most. And the reason for this are a lot more interesting than whatever his problems and symptoms were. — David Foster Wallace

Oh yes, children often commit murders. And quite clever ones, too. Some murderers, particularly the distinguished ones who are going to make great names for themselves, start amazingly early ... Like mathematicians and musicians. Poets develop later. — John Lee Mahin

Mathematicians also make terrible salesmen. Physicists can discover the same thing as a mathematician and say 'We've discovered a great new law of nature. Give us a billion dollars.' And if it doesn't change the world, then they say, 'There's an even deeper thing. Give us another billion dollars.' — Gian-Carlo Rota

It is impossible to study the works of the great mathematicians, or even those of the lesser, without noticing and distinguishing two opposite tendencies, or rather two entirely different kinds of minds. The one sort are above all preoccupied with logic; to read their works, one is tempted to believe they have advanced only step by step, after the manner of a Vauban who pushes on his trenches against the place besieged, leaving nothing to chance. The other sort are guided by intuition and at the first stroke make quick but sometimes precarious conquests, like bold cavalrymen of the advance guard.
[1913, p210] — Henri Poincare